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Finding the Third Proportional to 454,351 and 712,803

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Solution

The third proportional to 454,351 and 712,803 is: 1,118,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,351 : 712,803 = 712,803 : x
  2. Step 2: Convert to fraction form
    454,351/712,803 = 712,803/x
  3. Step 3: Cross multiply
    454,351x = 712,803 × 712,803
  4. Step 4: Simplify right side
    454,351x = 508,088,116,809
  5. Step 5: Solve for x
    x = 508,088,116,809/454,351
  6. Step 6: Final answer
    x = 1,118,272.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.